If $$A=$$$$cos$$⁡α−$$sin$$⁡α$$0sin$$⁡α$$cos$$⁡α$$0001$$, then (Adj$$⁡$$A)−$$1=$$

Correct option is 1cosα−sinα0sinαcosα0001

Questions

$If A = [\begin{array}{ccc} \cos α & - \sin α & 0 \\ \sin α & \cos α & 0 \\ 0 & 0 & 1 \end{array}], then (Adj A)^{- 1} =$

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cosα−sinα0sinαcosα0001

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detailed solution

Correct option is A

det A=cosαcosα−0+sinαsinα−0=cos2α+sin2α=1∴A−1=Adj A⇒Adj A−1=A−1−1=A

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If A=cos⁡α−sin⁡α0sin⁡αcos⁡α0001, then (Adj⁡A)−1=

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free study material

$If A = [\begin{array}{ccc} \cos α & - \sin α & 0 \\ \sin α & \cos α & 0 \\ 0 & 0 & 1 \end{array}], then (Adj A)^{- 1} =$